Question

1. here is a graph of the equation 3x - 2y = 12. select all coordinate pairs that represent a solution to the equation. a. (2,-3) b. (4,0) c. (5,-1) d. (0,-6) e. (2,3) (from unit 2, lesson 5.) 9. jada bought some sugar and strawberries to make strawberry jam. sugar costs $1.80 per pound, and strawberries cost $2.50 per pound. jada spent a total of $19.40. which point on the coordinate plane could represent the pounds of sugar and strawberries that jada used to make jam? a. point a b. point b c. point c d. point d (from unit 2, lesson 5.)

Explanation:

Step1: Check option A

Substitute \(x = 2\) and \(y=-3\) into \(3x - 2y\).
\[3\times2-2\times(-3)=6 + 6=12\]

Step2: Check option B

Substitute \(x = 4\) and \(y = 0\) into \(3x-2y\).
\[3\times4-2\times0=12-0 = 12\]

Step3: Check option C

Substitute \(x = 5\) and \(y=-1\) into \(3x - 2y\).
\[3\times5-2\times(-1)=15 + 2=17
eq12\]

Step4: Check option D

Substitute \(x = 0\) and \(y=-6\) into \(3x-2y\).
\[3\times0-2\times(-6)=0 + 12=12\]

Step5: Check option E

Substitute \(x = 2\) and \(y = 3\) into \(3x-2y\).
\[3\times2-2\times3=6-6 = 0
eq12\]

for second - part:
Let \(x\) be the pounds of sugar and \(y\) be the pounds of strawberries. The equation representing the total cost is \(1.8x+2.5y=19.4\).

Step1: Check point A \((0,0)\)

\[1.8\times0+2.5\times0=0
eq19.4\]

Step2: Check point B \((9,2)\)

\[1.8\times9 + 2.5\times2=16.2+5=21.2
eq19.4\]

Step3: Check point C \((7,2)\)

\[1.8\times7+2.5\times2=12.6 + 5=17.6
eq19.4\]

Step4: Check point D \((6,5)\)

\[1.8\times6+2.5\times5=10.8 + 12.5=23.3
eq19.4\]

It seems there is an error in the second - part problem setup as none of the points satisfy the equation \(1.8x + 2.5y=19.4\). If we assume there is a mis - reading and we check the equation \(1.8x+2.5y = 19.4\) by trial and error or by re - evaluating the graph values more accurately. But based on the pure substitution of the given points into the cost equation, no correct answer is obtained from the given options. If we assume the graph is correct and we read the values from the graph more precisely and form the correct equation based on the graph's line, we may get a different result. However, if we assume the problem has some data inaccuracy and we just consider the closest value, we need more information. But if we go by the strict substitution of the points into the cost equation \(1.8x+2.5y=19.4\), there is no correct answer among A, B, C, D.

If we assume some approximation or error in data entry, we would need to re - evaluate the problem with more context. But based on the current information, for the second part, no valid answer from the given options can be determined with certainty.

For the first part, the solutions of the equation \(3x - 2y=12\) are the coordinate pairs A. \((2,-3)\), B. \((4,0)\), D. \((0,-6)\)

Answer:

A. \((2,-3)\), B. \((4,0)\), D. \((0,-6)\)